Showing 50 of 25456 papers

On the Isolation of $(+)$ - $\delta$ -Cadinol from the Oleoresin of Pinus sibirica R. Mayr and Its Identity with Torreol and Sesquigeol

Unknown
1961 SovietRxiv: ru-196101.41827

A sesquiterpene alcohol isolated from the neutral fraction of Siberian cedar oleoresin, Pinus sibirica, was examined to determine its identity and configuration. The compound was purified by alumina adsorption chromatography, recrystallization, and vacuum sublimation, then characterized by melting p…

ON THE CLASSIFICATION OF FIBERED SPACES

Unknown
1961 SovietRxiv: ru-196101.41777

The paper extends de Rham and Dolbeault type methods to cohomology with coefficients in certain non-Abelian sheaves, interpreting the classification of principal fibered spaces through differential forms with values in Lie algebra bundles. It develops integrability criteria for equations defined by …

On the First Boundary Value Problem for the Nonstationary Navier–Stokes Equations

K. K. GOLOVKIN and V. A. SOLONNIKOV
1961 SovietRxiv: ru-196101.41518

This note studies the first boundary-value problem for the nonstationary Navier-Stokes equations in three spatial variables, aiming to weaken previously known conditions for classical solvability. Using the theory of nonstationary hydrodynamic potentials, the authors give simplified formulas and est…

On the Spectrum of an Electron in a Polymer Chain

A. B. ALMAZOV
1961 SovietRxiv: ru-196101.41472

This paper examines whether the electronic spectrum of a polymer chain can have a band structure in the absence of periodicity or even local ordering. The author models the chain by successive rotations of equal link vectors, constructs electron wave functions as linear combinations of localized fun…

Reactions of Benzoyl Peroxide with Titanocene Derivatives

Corresponding Member of the Academy of Sciences of the USSR G. A. RAZUVAEV, V. N. LATYAEVA
1961 SovietRxiv: ru-196101.41420

The study examines reactions of benzoyl peroxide with titanocene derivatives, motivated by the high reactivity of biscyclopentadienyltitanium and the contrasting destructive reaction reported for ferrocene. Experiments in benzene and isopropyl alcohol showed that benzoyl peroxide converts biscyclope…

High-Energy Cyclic Accelerators with a Self-Adjusting Magnetic Field

E. L. BURSHTEIN, A. A. VASIL’EV, A. L. MINTS, V. A. PETUKHOV, and S. M. RUBCHINSKII
1961 SovietRxiv: ru-196101.41406

This paper examines automatic correction of magnetic-field errors in high-energy cyclic accelerators as a means to reduce forced betatron oscillations, stabilize the equilibrium orbit, and permit smaller vacuum-chamber apertures. It formulates feedback schemes in which beam-position measurements are…

Separation Theorems for Convex Polyhedral Sets

S. N. CHERNIKOV
1961 SovietRxiv: ru-196101.41265

This paper studies convex polyhedral sets in arbitrary real linear spaces, defined as solution sets of finite systems of linear inequalities. It establishes strict separation of disjoint convex polyhedral sets by a plane, relates this separation to corner cones embracing the sets, and extends the di…

On the Behavior of Water of Crystallization in the Ferroelectric $\mathrm{K}_4\mathrm{Fe}(\mathrm{CN})_6\cdot3\mathrm{H}_2\mathrm{O}$

A. G. LUNDIN, G. M. MIKHAILOV, and S. P. GABUDA
1961 SovietRxiv: ru-196101.41175

This study investigates the behavior of crystallization water in ferroelectric potassium ferrocyanide trihydrate, K4Fe(CN)6·3H2O, using proton magnetic resonance on polycrystalline samples and single crystals over 77 to 400 K. Analysis of the second moment and line splitting shows that at low temper…

Kinetics of Electrode Processes and Mechanism of Self-Dissolution of $n$- and $p$-Type Germanium with Different Resistivities

E. N. Paleolog, A. Z. Fedotova, and N. D. Tomashov
1961 SovietRxiv: ru-196101.41102

Polarization measurements and self-dissolution experiments were carried out on n-type and p-type germanium samples of different resistivity in acidic sulfate solutions, with hydrogen peroxide and ferricyanide as cathodic reagents. The results show that hydrogen evolution and hydrogen peroxide reduct…

Klein Spaces as Kawaguchi Spaces

M. V. LOSIK
1961 SovietRxiv: ru-196101.41048

The paper studies the representation of Klein spaces by Kawaguchi metrics, using invariant curve functionals and their associated indicatrices. It argues that for any Klein space with automorphism group G, one can construct a Kawaguchi metric whose automorphism group is exactly G and which admits no…

$\gamma$-Radiolysis of n-heptane adsorbed on oxide catalysts

Unknown
1961 SovietRxiv: ru-196101.41014

This study examines gamma radiolysis of n-heptane adsorbed on oxide catalysts, comparing alumina and mixed alumina catalysts containing chromium, molybdenum, cobalt, and potassium oxides. Measurements of gas formation as a function of surface coverage show enhanced radiolysis in the adsorbed monolay…

A CHARACTERIZATION OF FINITELY AXIOMATIZABLE CLASSES OF MODELS

A finite system of axioms of the narrow predicate calculus is equivalent to a single axiom of the form
1961 SovietRxiv: ru-196101.40683

This note characterizes classes of models that are finitely axiomatizable in the narrow predicate calculus without restricting the form of the axioms. It reduces finite axiom systems to single prenex axioms with alternating quantifiers, introduces generalized covering relations between models and su…

Molybdenum and Rhenium Diselenides

Yu. M. UKRAINSKII and A. V. NOVOSELOVA
1961 SovietRxiv: ru-196101.40681

Molybdenum and rhenium diselenides were synthesized by sintering the corresponding metals with stoichiometric selenium in evacuated quartz ampoules, and their crystallographic and electrical properties were examined. Powder X-ray diffraction showed that molybdenum diselenide has a hexagonal unit cel…

On Electromagnetic Sounding of the Deep Layers of the Earth

Corresponding Member of the Academy of Sciences of the USSR A. N. Tikhonov, N. V. Lipskaya,
1961 SovietRxiv: ru-196101.40624

This paper investigates magnetotelluric sounding as a means of studying deep electrical structure in the Earth using natural electromagnetic field variations over periods from seconds to diurnal oscillations. Records of electric and magnetic field components from stations in Crimea, Ryazan oblast, a…

Inhibitors of Free-Radical Reactions. Self-Alkylation Reaction of 3,5-Di-tert-butyl-4-hydroxybenzylamine

G. A. Nikiforov and K. M. Dyumaev
1961 SovietRxiv: ru-196101.40599

This paper examines the self-alkylation of 3,5-di-tert-butyl-4-hydroxybenzylamine as a route to substituted tribenzylamines, compounds whose directed synthesis is otherwise difficult because mixtures of amines are commonly formed. The authors show that the amine can convert under mild conditions, es…

Reactions of “Hot” Methyl Radicals in the Solid Phase at Low Temperatures

R. A. VARBANSKAYA, B. N. SHELIMOV, and N. V. FOK
1961 SovietRxiv: ru-196101.40553

This study examines the formation and reactions of excess-energy, or hot, methyl radicals during low-temperature photolysis of methyl iodide, azomethane, acetone, and acetaldehyde in solid methylcyclohexane at 77 K. The authors combine analysis of gaseous products with electron paramagnetic resonanc…

Bromination of Alkyl Thienyl Ketones

Unknown
1961 SovietRxiv: ru-196101.40421

This study examines how reaction conditions control the bromination site in higher alkyl 2-thienyl ketones, including normal and branched homologs of 2-acetothienone. Bromination without solvent in the presence of excess anhydrous aluminum chloride gave ring-substituted products, identified as 4-bro…

Divergent Fourier Series of Continuous Functions

Unknown
1961 SovietRxiv: ru-196101.40186

This note proves that for every complete orthonormal system in \(L^2[0,1]\) there is a continuous function whose Fourier series, after a suitable rearrangement of its terms, diverges almost everywhere. The proof first establishes the result for the Haar system by constructing a bounded function with…

Geometric and Chemical Modification of Silica Gel for Gas Chromatography

V. S. VASIL’EVA, I. V. DROGALEVA, A. V. KISELEV, A. Ya. KOROLEV, and K. D. SHCHERBAKOVA
1961 SovietRxiv: ru-196101.40141

This study examines whether wide-pore silica gel can be modified to serve as a stable gas-chromatographic adsorbent with reduced adsorption energy and improved surface uniformity. Industrial silica gel was purified, hydrothermally treated to coarsen its pore structure, and then reacted with trimethy…

Fine structure of the Rayleigh light scattering line and the propagation velocity of hypersonic oscillations in water

L. V. LANSHINA and M. I. SHAKHPARONOV
1961 SovietRxiv: ru-196101.40140

This study reexamines the fine structure of the Rayleigh scattering line in water in order to determine the propagation velocity of hypersonic oscillations and the intensity ratio of the central and Mandelstam-Brillouin components. Using an improved Fabry-Perot interferometer arrangement and photogr…

Study of selenocyanate complexes of cobalt and nickel

Unknown
1961 SovietRxiv: ru-196101.40068

This study examines the formation and stability of cobalt and nickel selenocyanate complexes in water, methanol, and acetone, and reports syntheses of several corresponding salts. Using spectrophotometry, electrical conductivity, potentiometry, and formation-curve analysis, the authors identify solv…

Chemical and physical adsorption of oxygen on freshly split graphite surface

G. G. FEDOROV, Yu. A. ZARIFYANTS, and V. F. KISELEV
1961 SovietRxiv: ru-196101.40059

This study examines the adsorption of oxygen on freshly cleaved, highly dispersed graphite prepared by vibratory grinding in an argon atmosphere, with attention to the distinction between chemical adsorption at room temperature and low-temperature physical adsorption. Volumetric adsorption and desor…

On the Stability of Rods and Plates under Creep Conditions

Unknown
1961 SovietRxiv: ru-196101.40022

The paper formulates a stability criterion for rods and plates subjected to creep, emphasizing disturbed motion after a small residual deflection rather than bifurcation from a straight state. For a hinged compressed rod obeying a power law creep relation, the analysis linearizes the constitutive eq…

Inverse Problems of Additive Number Theory. On the Addition of Sets of Residues Modulo a Prime

G. A. Freiman
1961 SovietRxiv: ru-196101.39937

This paper studies inverse problems for sums of finite sets of integers and residues modulo a prime, focusing on structural consequences when the sumset or double sumset is small. Using exponential sums and a concentration lemma for points on the unit circle, it proves that if the number of residues…

MOTION OF GLACIERS

Unknown
1961 SovietRxiv: ru-196101.39875

This paper addresses the absence of a satisfactory dynamic theory of glacier motion capable of relating observed velocities to ice rheology, gravitational forces, glacier geometry, and basal friction. It proposes a first approximation that treats normal and shear stresses as independent, allowing lo…

Study of ethyl radical exchange in the $\mathrm{Al}(\mathrm{C}_2\mathrm{H}_5)_3$ – $\overset{*}{\mathrm C}_2\mathrm{H}_5\mathrm{Br}$ system

A. P. BATALOV and I. A. KORSHUNOV
1961 SovietRxiv: ru-196101.39871

This study examines ethyl radical exchange between triethylaluminum and carbon-14-labeled ethyl bromide, using radiometric analysis of ethane formed after decomposition of the organoaluminum compound. Experiments under nitrogen in sealed ampoules show that exchange is not observed without added meta…

Dependence of the Oxidation Induction Period on Antioxidant Concentration

M. B. NEIMAN, V. B. MILLER, Yu. A. SHLYAPNIKOV, and E. S. TORGUYEVA
1961 SovietRxiv: ru-196101.39868

This paper examines how the induction period of oxidation depends on antioxidant concentration, especially at very low inhibitor levels where the commonly assumed linear relation is inadequate. Using a chain oxidation model with degenerate branching and chain termination by antioxidant, the authors …

Properties of solutions of elliptic equations

Unknown
1961 SovietRxiv: ru-196101.39691

This note studies maximum-type estimates for positive solutions of second-order elliptic equations in divergence form with lower-order terms, extending earlier results that required either a nonpositive zeroth-order coefficient or vanishing first-order coefficients. Under ellipticity, boundedness, a…

Rhenium as a Hydrogenation Catalyst

A. A. Balandin, E. I. Karpeiskaya, and B. D. Polkovnikov
1961 SovietRxiv: ru-196101.39657

This study examines the hydrogenating properties of two metallic rhenium catalysts: rhenium supported on activated carbon prepared from a dioxane complex of rhenium anhydride, and skeletal rhenium obtained by leaching a rhenium aluminum alloy. Using autoclave, flow, and atmospheric pressure experime…

Radio Emission from the Taurus A Region at a Wavelength of 8 mm

A. D. KUZ’MIN and A. E. SALOMONOVICH
1961 SovietRxiv: ru-196101.39636

This paper reports 8 mm radio observations of the Taurus A region made with the 22 m radio telescope of the P. N. Lebedev Physical Institute, using transit records from a modulation radiometer with an approximately 2 minute beam. Averaging 21 records, the authors identify the known Taurus A source w…

New Data on the Tunguska Catastrophe of 1908

A. V. ZOLOTOV
1961 SovietRxiv: ru-196101.39618

This paper reports 1959 field observations and calculations concerning the 1908 Tunguska catastrophe, focusing on forest fall patterns, the height and energy of the explosion, the final velocity of the cosmic body, and the light radiation produced. Using the radial tree fall, standing forest near th…

On the Interaction of Ethylene Oxide with Carbon Disulfide

V. S. ETLIS, L. N. GROBOV, and G. A. RAZUVAEV
1961 SovietRxiv: ru-196101.39612

The study examines the reaction of ethylene oxide with carbon disulfide in sealed ampoules at 90 to 100°C in the presence of a quaternary ammonium bromide catalyst. The reaction gave partial conversion of ethylene oxide and produced ethylene carbonate and ethylene trithiocarbonate in an approximatel…

Nonnegative eigenfunctions of the Laplace–Beltrami operator and Brownian motion in some symmetric spaces

Unknown
1961 SovietRxiv: ru-196101.39551

The paper studies nonnegative solutions of the eigenvalue equation for the Laplace Beltrami operator on a negatively curved symmetric space whose motion group is isomorphic to the complex unimodular group. Using Martin’s method, it constructs an explicit Green’s function in terms of spectral coordin…

On the structure of salts of diphenylcyclopropenone and tropone

B. E. ZAITSEV, Yu. D. KORESHKOV, M. E. VOL’PIN
1961 SovietRxiv: ru-196101.39467

The study examines the structures of salts formed by the nonbenzenoid aromatic ketones diphenylcyclopropenone and tropone with strong acids. Hydrobromide salts of both ketones were synthesized and analyzed by infrared spectroscopy in the crystalline state and in solution, with attention to disappear…

ACTIVITIES, HEATS, AND ENTROPIES OF MIXING IN SOLID SOLUTIONS

G. P. Popov and G. I. Chufarov
1961 SovietRxiv: ru-196101.39416

This paper investigates thermodynamic properties of solid solutions in the NiFe2O4 and Fe3O4 system formed during equilibrium reduction of nickel ferrite by hydrogen at 600 to 900 °C. Equilibrium hydrogen pressures were measured from both reduction and oxidation directions, compositions were determi…

On the Instability of an Inhomogeneous Rarefied Plasma in a Strong Magnetic Field

L. I. RUDAKOV and R. Z. SAGDEEV
1961 SovietRxiv: ru-196101.39403

This paper analyzes a mechanism for instability in an inhomogeneous rarefied plasma placed in a strong magnetic field, distinct from previously proposed ion-sound instabilities requiring much hotter electrons than ions or a longitudinal current. Using a linearized kinetic treatment under low-frequen…

AVERAGING OF BALANCE EQUATIONS IN OCEANOLOGY

Unknown
1961 SovietRxiv: ru-196101.39250

This paper examines how different averaging procedures affect balance equations used in oceanology, including equations for mass, momentum, heat, salt, and other transported quantities. Starting from a general balance equation, it compares Reynolds and density-weighted means and shows that the resul…

Complexes of Polyacrolein with Heavy Metal Salts

Corresponding Member of the Academy of Sciences of the USSR M. M. KOTON, I. V. ANDREEVA,
1961 SovietRxiv: ru-196101.39226

This paper investigates the ability of high molecular weight oxygen-containing polymers, specifically polyacrolein, to form coordination complexes with heavy metal salts. Powdered polyacrolein samples prepared under different polymerization conditions were tested for extraction of uranyl nitrate fro…